13105001403432 has 192 divisors, whose sum is σ = 37835378380800. Its totient is φ = 4083529881600.

The previous prime is 13105001403421. The next prime is 13105001403499. The reversal of 13105001403432 is 23430410050131.

It is a happy number.

13105001403432 is a `hidden beast` number, since 1 + 3 + 10 + 500 + 140 + 3 + 4 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13105001403396 and 13105001403405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265910169 + ... + 265959447.

It is an arithmetic number, because the mean of its divisors is an integer number (197059262400).

Almost surely, 2^{13105001403432} is an apocalyptic number.

13105001403432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105001403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917689190400).

13105001403432 is an abundant number, since it is smaller than the sum of its proper divisors (24730376977368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13105001403432 is a wasteful number, since it uses less digits than its factorization.

13105001403432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50776 (or 50769 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13105001403432 its reverse (23430410050131), we get a palindrome (36535411453563).

The spelling of 13105001403432 in words is "thirteen trillion, one hundred five billion, one million, four hundred three thousand, four hundred thirty-two".